Geodesic
A periodic model for the dynamics of cell volume
Philip Korman1
1Department of Mathematical Sciences University of Cincinnati Cincinnati, OH 45221-0025, U.S.A.
Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 243-249
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We prove the existence and uniqueness of a positive periodic solution for a model describing the dynamics of cell volume flux, introduced by Julio A. Hernández [Bull. Math. Biol. 69 (2007), 1631–1648]. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P. J. Torres [Atlantis Press, 2015].
DOI : 10.4064/ap3857-3-2016
Keywords: prove existence uniqueness positive periodic solution model describing dynamics cell volume flux introduced julio hern ndez bull math biol periodic solution global attractor results confirm conjectures made interesting recent book nbsp nbsp torres atlantis press

Philip Korman  1

1 Department of Mathematical Sciences University of Cincinnati Cincinnati, OH 45221-0025, U.S.A. 
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Philip Korman. A periodic model for the dynamics of cell volume. Annales Polonici Mathematici, Tome 116 (2016) no. 3, pp. 243-249. doi: 10.4064/ap3857-3-2016

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